Consider the following problem. Max 2 = 5x + 2x - X3 s.t. 4x2x 5 30...

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Consider the following problem. Max 2 = 5x₁ + 2x₂ - X3 s.t. 4x₁2x₂ 5 30 X + 5xy 220 X1, X₂, X₂ 20 Part a) Given the following ranges for parameters, use robust optimization to formulate a conservative version of this model. Parameter "₁ "₂ 5₂ #₂,3 0₂.1 da b₂ #₂,2 032 by Range [1.6] [1.3] [-6,0] [2.5] [-4,0] [0.2] [4.6) Part b) If the availability of the first resource follows normal distribution with 25 mean and 3 standard deviation, formulate a chance constraint model for a risk seeker decision maker with the risk acceptance level of 30 percent. Scenario 1st Probability 0.2 C₂ 1 4 20 [20,40] [12.25) Part c) Given the following scenarios for parameters, formulate a two-stage model to find the optimal solution for x, which is feasible and optimal in both scenarios. 2nd 0.8 2 S 23 Consider the following problem. Max 2 = 5x₁ + 2x₂ - X3 s.t. 4x₁2x₂ 5 30 X + 5xy 220 X1, X₂, X₂ 20 Part a) Given the following ranges for parameters, use robust optimization to formulate a conservative version of this model. Parameter "₁ "₂ 5₂ #₂,3 0₂.1 da b₂ #₂,2 032 by Range [1.6] [1.3] [-6,0] [2.5] [-4,0] [0.2] [4.6) Part b) If the availability of the first resource follows normal distribution with 25 mean and 3 standard deviation, formulate a chance constraint model for a risk seeker decision maker with the risk acceptance level of 30 percent. Scenario 1st Probability 0.2 C₂ 1 4 20 [20,40] [12.25) Part c) Given the following scenarios for parameters, formulate a two-stage model to find the optimal solution for x, which is feasible and optimal in both scenarios. 2nd 0.8 2 S 23

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To maximize the objective function under the given condition As Subject to constaments 4x2x 30 X 5... View the full answer